Error analysis of semidiscrete finite element methods for inhomogeneous time-fractional diffusion
Error analysis of semidiscrete finite element methods for inhomogeneous time-fractional diffusion
We consider the initial-boundary value problem for an inhomogeneous time-fractional diffusion equation with a homogeneous Dirichlet boundary condition, a vanishing initial data and a nonsmooth right-hand side in a bounded convex polyhedral domain. We analyse two semidiscrete schemes based on the standard Galerkin and lumped mass finite element methods. Almost …